Given the measure of an interior angle of a regular polygon, how many sides does the polygon have? 177.75

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Answer 1 · 2018-02-26T16:49:10

#160#

the key here is to remember that all the exterior angles of a regular polygon add up to #360^0#

now

#1 " int."< +1" ext. <"=180^0#

#:. "ext.< "=180-177.75^0#

#=2.25^0#

#:. " No. of sides "=360/2.25=160" sides"#

Given the measure of an interior angle of a regular​ polygon, how many sides does the polygon​ have? 177.75